Four candidates A, B, C and D have applied for the post in government office. If A is twice as likely to be selected as B, and B and C are given about the same chances of being selected, while C is twice as likely to be selected as D, what are the probabilities that
(i) C will be selected?
(ii) A will not be selected?
Three integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3 is
For three events A, B and C,
P(Exactly one of A or B occurs)
= P (Exactly one of B or C occurs)
= P (Exactly one of C or A occurs) = 41 and
P(All the three events occurs simultaneously)= 61.
Then the probability that at least one of the events occurs, is
The probabilities of three events A, B, and C are P(A) = 0.6, P(B) = 0.4, and P(C ) = 0.5. If P(A∪B) = 0.8, P(A∩C)=0.3, P(A∩B∩C)=0.2, and P(A∪B∪C)≥0.85, then find the range of P(B∩C).
If A and B are events such that P(A∪B)=(3)/(4),P(A∩B)=(1)/(4) and P(Ac)=(2)/(3), then find
(a) P(A) (b) P(B)
(c ) P(A∩Bc)(d)P(Ac∩B)
A 2n digit number starts with 2 and all its digits are prime, then the probability that the sum of any two consective digits of the number is prime is
Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets go to the daughters of A is 1/20. Find the number of daughters each of them have.